Preheat oven to 350 degrees F (175 degrees C). Grease and flour a 9x5-inch loaf pan.

In a large bowl, mash the bananas. Add the butter and sugar and cream together until light and fluffy. Beat in the eggs one at a time, then stir in the vanilla extract.

In a separate bowl, whisk together the flour, baking soda, and salt. Gradually add the dry ingredients to the wet ingredients, mixing just until combined.

Pour the batter into the prepared loaf pan and bake for 50-60 minutes, or until a toothpick inserted into the center comes out clean.

Let the bread cool in the pan for 10 minutes before removing to a wire rack to cool completely.